It was pretty obvious, for me, to compare this "Alibi Kuzushi Uketamawarimasu" with the dorama "Pure" which had come out only a few months before, given how they both share the same FL (Hamabe Minami), they both have, as MLs, what I'd call "members of the endangered species of really good male actors" (Higashide Masahiro there, Yasuda Ken here) and on top of that they also share the very same genre (Mystery/Investigation with a quirky premise and - at least theoretically - lots of comedy).
But whereas I had quite liked "Pure", I'm not gonna be able to give this the passing grade, sorry.
Apart from a coupla episodes, the mystery plots weren't really interesting nor very well done; the characters felt horribly bidimensional and neither particularly endearing nor actually that funny (imho the comic relief moments in this were only weird, without being at the same time hilarious, as it had been the case in "Pure"); despite having a pretty remarkable cast (with also Narita Ryo and Emoto Tokio in supporting roles), the actors couldn't shine, due to the dull script they had to work with; direction and photography were okay, and the music pretty good, but that's way too little to get anything more than a five, at least from me.